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Simplifying 5(6y + -3) + 3(6 + -5y) = 48 Reorder the terms: 5(-3 + 6y) + 3(6 + -5y) = 48 (-3 * 5 + 6y * 5) + 3(6 + -5y) = 48 (-15 + 30y) + 3(6 + -5y) = 48 -15 + 30y + (6 * 3 + -5y * 3) = 48 -15 + 30y + (18 + -15y) = 48 Reorder the terms: -15 + 18 + 30y + -15y = 48 Combine like terms: -15 + 18 = 3 3 + 30y + -15y = 48 Combine like terms: 30y + -15y = 15y 3 + 15y = 48 Solving 3 + 15y = 48 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 15y = 48 + -3 Combine like terms: 3 + -3 = 0 0 + 15y = 48 + -3 15y = 48 + -3 Combine like terms: 48 + -3 = 45 15y = 45 Divide each side by '15'. y = 3 Simplifying y = 3
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